The common feature to composite Higgs models (CHMs)
is that scalar fields
originate as PNGBs in the underlying dynamics [1]}, [2]}, [3]}.
Symmetry arguments constrain their potential, suppressing masses and couplings.
Reviews can be found in Refs. [4]}, [5]}, [6]},
and it may be helpful to the reader to use the summary tables in Refs. [7]}, [8]}, [9]}.
A selection of interesting studies focusing on model-building, perturbative studies
and phenomenological applications
includes Refs. [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}, [17]}, [18]}, [19]}, [20]}, [21]}, [22]}, [23]}, [24]}, [25]}, [26]}, [27]}, [28]}, [29]}, [30]}, [31]}, [32]}, [33]}, [34]}, [35]}, [36]}, [37]}, [38]}, [39]}, [40]}, [41]}, [42]}, [43]}, [44]}, [45]}, [46]}, [47]}.
In these studies, EFT (and perturbative) arguments and guidance from the experiment
are combined to constraint the strongly coupled dynamics,
but its detailed description is accessible only with non-perturbative
instruments.
There is a rich literature on the topic coming from gauge-gravity dualities,
in the context of bottom-up holographic models [48]}, [49]}, [50]},
with a recent resurgence of interest [51]}, [52]}, [53]}, [54]}, including a first attempt
at identifying a complete top-down model [55]}.
Alternative ways to approach the dynamics have also been proposed in
Ref. [56]}.
